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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is sin²θ + cos²θ?
💡 Hint: This is derived from the Pythagorean identity.
Question 2
Easy
If sec(θ) = 2, what is cos(θ)?
💡 Hint: Recall the reciprocal identity involving secant.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the fundamental Pythagorean identity?
- sin²θ + cos²θ = 1
- tan²θ + cot²θ = 1
- sec²θ + cot²θ = csc²θ
💡 Hint: Remember it as the basis of all trigonometric identities.
Question 2
True or False: Reciprocal identities state that sin(θ) = cosec(θ).
- True
- False
💡 Hint: Define the relationship carefully to clarify.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that tan²(θ) + 1 = sec²(θ) using the unit circle.
💡 Hint: Refer back to the definitions of sine and cosine in terms of the unit circle.
Question 2
Using the identity sin²(θ) + cos²(θ) = 1, show that if sin(θ) = 4/5, then cos(θ) must equal 3/5.
💡 Hint: Make sure to square the sine term appropriately.
Challenge and get performance evaluation